作业帮当x取何值时,式子1/2[2x-1/3(10-70)]-x/2的值比式子1/3[x-1/2(x+1)]的值小3?
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 19:47:21
![当x取何值时,式子1/2[2x-1/3(10-70)]-x/2的值比式子1/3[x-1/2(x+1)]的值小3?](/uploads/image/z/814872-48-2.jpg?t=%E5%BD%93x%E5%8F%96%E4%BD%95%E5%80%BC%E6%97%B6%2C%E5%BC%8F%E5%AD%901%2F2%5B2x-1%2F3%2810-70%29%5D-x%2F2%E7%9A%84%E5%80%BC%E6%AF%94%E5%BC%8F%E5%AD%901%2F3%5Bx-1%2F2%28x%2B1%29%5D%E7%9A%84%E5%80%BC%E5%B0%8F3%3F)
当x取何值时,式子1/2[2x-1/3(10-70)]-x/2的值比式子1/3[x-1/2(x+1)]的值小3?
当x取何值时,式子1/2[2x-1/3(10-70)]-x/2的值比式子1/3[x-1/2(x+1)]的值小3?
当x取何值时,式子1/2[2x-1/3(10-70)]-x/2的值比式子1/3[x-1/2(x+1)]的值小3?
由题意(1/2)[2x - (1/3)(10 - 70)] - x/2 = (1/3)[x - (1/2)(x + 1)] - 3,即(1/2)(2x + 20) - x/2 = (1/3)(x/2 - 1/2) - 3,即x + 10 - x/2 = x/6 - 1/6 - 3,移项可得x/3 = -79/6,因此x = -79/2 ； 综上所述,所求x = -79/2 .